Maths-
General
Easy

Question

x to the power of 2 end exponent minus 2 x plus c equals 0
In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c ?

  1. -2    
  2. 0    
  3. 1    
  4. 2    

The correct answer is: 1


    The general form of quadratic equation is a x to the power of 2 end exponent plus b x plus c equals 0 and a quadratic equation has one solution when the discriminant is zero. From an algebra standpoint, this means b to the power of 2 end exponent equals 4 a c.
    Explanations:
    Step 1 of 2:
    We have x to the power of 2 end exponent minus 2 x plus c equals 0
    Here, a equals 1, b equals negative 2.
    Step 2 of 2:
    Putting the values of a and b in b to the power of 2 end exponent equals 4 a c, we get
    open parentheses negative 2 close parentheses to the power of 2 end exponent equals 4 cross times 1 cross times c
    rightwards double arrow c equals fraction numerator 4 over denominator 4 end fraction equals 1
    Final Answer:
    The value of c is — 1.

    Related Questions to study

    General
    Maths-

    The 2017 Wyoming state senate had 30 elected members consisting of Democrats and Republicans. Let d represent the number of Democrats who vote yes for a bill, and let r represent the number of Republicans who vote yes for a bill. For a bill to pass, more than half of the 30 senators must vote yes. Which of the following inequalities represents all possible values of d and r for a bill to pass?

    The 2017 Wyoming state senate had 30 elected members consisting of Democrats and Republicans. Let d represent the number of Democrats who vote yes for a bill, and let r represent the number of Republicans who vote yes for a bill. For a bill to pass, more than half of the 30 senators must vote yes. Which of the following inequalities represents all possible values of d and r for a bill to pass?

    Maths-General
    General
    Maths-

    For the linear function f, the graph of y = f(x) in the xy -plane passes through the points (0, 2) and (2, 6). Which equation defines f ?

    For the linear function f, the graph of y = f(x) in the xy -plane passes through the points (0, 2) and (2, 6). Which equation defines f ?

    Maths-General
    General
    Maths-

    In triangle ABC, the measure of angle C is 90 to the power of ring operator end exponent. If s i n invisible function application A equals fraction numerator 3 over denominator 5 end fraction, what is c o s invisible function application B ?

    In triangle ABC, the measure of angle C is 90 to the power of ring operator end exponent. If s i n invisible function application A equals fraction numerator 3 over denominator 5 end fraction, what is c o s invisible function application B ?

    Maths-General
    parallel
    General
    Maths-

    2a + b = 17
    a + 2b = 19
    The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?

    2a + b = 17
    a + 2b = 19
    The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?

    Maths-General
    General
    Maths-


    The daily high temperatures, in degrees Fahrenheit, for a city in the month of February in 2017 are summarized in the box plot shown. Which of the following is closest to the median of the high temperatures, in degrees Fahrenheit, of the city in February 2017?


    The daily high temperatures, in degrees Fahrenheit, for a city in the month of February in 2017 are summarized in the box plot shown. Which of the following is closest to the median of the high temperatures, in degrees Fahrenheit, of the city in February 2017?

    Maths-General
    General
    Maths-

    After a new car is purchased, the value of the car is modeled by a function that decreases exponentially over time. Which of the following could describe how the value of the car changes each year?

    After a new car is purchased, the value of the car is modeled by a function that decreases exponentially over time. Which of the following could describe how the value of the car changes each year?

    Maths-General
    parallel
    General
    Maths-

    The relative yield of corn, expressed as a percent, and soil pH were recorded for 5 samples. For the 5 samples, the relative yield of corn reached a maximum when the soil had a p H of 6.8, and then decreased as the soil pH increased. Which scatterplot could represent these data?

    The relative yield of corn, expressed as a percent, and soil pH were recorded for 5 samples. For the 5 samples, the relative yield of corn reached a maximum when the soil had a p H of 6.8, and then decreased as the soil pH increased. Which scatterplot could represent these data?

    Maths-General
    General
    Maths-

    The table shows the maximum depth, in meters, of the 5 deepest oceanic trenches.

    What is the range, in meters, of these 5 trench depths?

    The table shows the maximum depth, in meters, of the 5 deepest oceanic trenches.

    What is the range, in meters, of these 5 trench depths?

    Maths-General
    General
    Maths-

    Each of the whole numbers from 1 to 20 is written on one of 20 identical pieces of paper. The pieces of paper are then put into a hat and mixed together. If a piece of paper is selected at random from the hat, what is the probability that the number on it is a multiple of 3 ?

    Each of the whole numbers from 1 to 20 is written on one of 20 identical pieces of paper. The pieces of paper are then put into a hat and mixed together. If a piece of paper is selected at random from the hat, what is the probability that the number on it is a multiple of 3 ?

    Maths-General
    parallel
    General
    Maths-


    What is the ratio of AB to BC ?


    What is the ratio of AB to BC ?

    Maths-General
    General
    Maths-

    The curve models the number of fish in a certain population.

    Which of the following is closest to the number of fish in the population 16 months after January 2015?

    The curve models the number of fish in a certain population.

    Which of the following is closest to the number of fish in the population 16 months after January 2015?

    Maths-General
    General
    Maths-

    A length of 8 furlongs is equivalent to how many meters? (Use 1 furlong = 201 meters.)

    A length of 8 furlongs is equivalent to how many meters? (Use 1 furlong = 201 meters.)

    Maths-General
    parallel
    General
    Maths-

    If 2x + 4 = 100, what is the value of 6x + 12 ?

    If 2x + 4 = 100, what is the value of 6x + 12 ?

    Maths-General
    General
    Maths-

    It takes 6 hours to travel m miles. At this rate, how much time, in hours, will it take to travel 5 m miles?

    It takes 6 hours to travel m miles. At this rate, how much time, in hours, will it take to travel 5 m miles?

    Maths-General
    General
    Maths-

    b left parenthesis t right parenthesis equals 100 left parenthesis 1.11 right parenthesis to the power of t end exponent The given function b models the number of flour beetles in a certain area, where t represents the number of days after June 1. Which of the following is the best interpretation of the number 1.11 in this context?

    b left parenthesis t right parenthesis equals 100 left parenthesis 1.11 right parenthesis to the power of t end exponent The given function b models the number of flour beetles in a certain area, where t represents the number of days after June 1. Which of the following is the best interpretation of the number 1.11 in this context?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.